3941267760 has 320 divisors, whose sum is σ = 14477823360. Its totient is φ = 982056960.

The previous prime is 3941267749. The next prime is 3941267789. The reversal of 3941267760 is 677621493.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6646024 + ... + 6646616.

It is an arithmetic number, because the mean of its divisors is an integer number (45243198).

Almost surely, 2^3941267760 is an apocalyptic number.

3941267760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3941267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238911680).

3941267760 is an abundant number, since it is smaller than the sum of its proper divisors (10536555600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3941267760 is a wasteful number, since it uses less digits than its factorization.

3941267760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3941267760 is about 62779.5170417868. The cubic root of 3941267760 is about 1579.5934113760.

The spelling of 3941267760 in words is "three billion, nine hundred forty-one million, two hundred sixty-seven thousand, seven hundred sixty".